105873072 has 40 divisors (see below), whose sum is σ = 273885744. Its totient is φ = 35241984.

The previous prime is 105873043. The next prime is 105873077. The reversal of 105873072 is 270378501.

It is a super-2 number, since 2×105873072² = 22418214749434368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105873077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54388 + ... + 56300.

Almost surely, 2^105873072 is an apocalyptic number.

105873072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105873072 is an abundant number, since it is smaller than the sum of its proper divisors (168012672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105873072 is a wasteful number, since it uses less digits than its factorization.

105873072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 105873072 is about 10289.4641259883. The cubic root of 105873072 is about 473.0733735310.

The spelling of 105873072 in words is "one hundred five million, eight hundred seventy-three thousand, seventy-two".